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Olympiad Test: Rational Numbers -1


20 Questions MCQ Test Mathematical Olympiad Class 8 | Olympiad Test: Rational Numbers -1


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Attempt Olympiad Test: Rational Numbers -1 | 20 questions in 40 minutes | Mock test for Class 8 preparation | Free important questions MCQ to study Mathematical Olympiad Class 8 for Class 8 Exam | Download free PDF with solutions
QUESTION: 1

If 3/5 of a number exceeds its 2/7 by 44, then what is the number?

Solution:

Let the number be x.

QUESTION: 2

A bus is moving at an average speed of  km/hr. How much distance it will cover inhour?

Solution:

Distance = Speed × Time
​

QUESTION: 3

The sum of two numbers is -4/3 If one of them is –5  then what is the other number?

Solution:
QUESTION: 4

In a school 5/8 of the students are boys. If the number of girls are 270. What is the number of boys in the school?
Solution:

No. of girls = 1 - 5/8 = 3/8
Let x be the total no. of students then

x = 720
No. of boys = 720 - 270 = 450

QUESTION: 5

A cord of lengthm has been cut into 26 pieces of equal length. What is the length of each piece?
Solution:

Length of each piece 
                                 

QUESTION: 6

The product of two numbers is -16/35 . If one of the number is -15/14 what is the other number?
Solution:

Let the number be x.

QUESTION: 7

What should be subtracted from -5/3  to get 5/6 ?
Solution:
QUESTION: 8

What is additive inverse of -7/9?
Solution:

If x is the additive inverse then 
x = 7/9

QUESTION: 9

The sum of two rational numbers is – 3. If one of the number is -10/3. What is the other number?
Solution:

QUESTION: 10

The cost of metres of cloth is .  What is the cost of one metre of cloth?
Solution:

Cost of one metre of cloth = 

QUESTION: 11

​By what number should -33/8 be divided to get -11/2 ?
Solution:


=>  x= 3/4

QUESTION: 12

By what rational number should we multiplying -16/63 - to get -4/7.
Solution:

QUESTION: 13

What number should be added to -7/8 to get 4/9 ?​
Solution:


x = 95/72

QUESTION: 14

What is reciprocal of ?​
Solution:

We have 
∴    Reciprocal of 

QUESTION: 15

Which rational number is in between -2/3 and -1/4?
Solution:

ANSWER :- d

Solution :- If a and b are two Rational numbers then a rational number between them is ( a + b )/2

Rational number between -2/3 and -1/4 = [ (-2/3) + (-1/4)]/2

= [ ( -8 - 3 )/12]/2

= [(-11)/12]/2

= -11/24

QUESTION: 16

What is the reciprocal of ?
Solution:


 

QUESTION: 17

What should be added to -3/5 to get -1/3?
Solution:

Let x should be added.

QUESTION: 18

What is the additive inverse of  ?
Solution:


Additive inverse of 17/60 is -17/60.

QUESTION: 19

What is the value of 3/4 ÷ 5/8 x 3/7 + 2/9 - 1/3 ?
Solution:

QUESTION: 20

What is the value of  
Solution:

Here 

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